Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain

By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating th...

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Main Authors: Guotao Wang, Sanyang Liu, Lihong Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/469509
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author Guotao Wang
Sanyang Liu
Lihong Zhang
author_facet Guotao Wang
Sanyang Liu
Lihong Zhang
author_sort Guotao Wang
collection DOAJ
description By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. An example is given for the illustration of the main result.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-e0d6bccd69cb42018159b6d826b522e62025-02-03T01:03:49ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/469509469509Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded DomainGuotao Wang0Sanyang Liu1Lihong Zhang2Department of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, ChinaDepartment of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, ChinaBy employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. An example is given for the illustration of the main result.http://dx.doi.org/10.1155/2014/469509
spellingShingle Guotao Wang
Sanyang Liu
Lihong Zhang
Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain
Journal of Function Spaces
title Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain
title_full Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain
title_fullStr Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain
title_full_unstemmed Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain
title_short Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain
title_sort iterative approximation of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain
url http://dx.doi.org/10.1155/2014/469509
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AT sanyangliu iterativeapproximationoftheminimalandmaximalpositivesolutionsformultipointfractionalboundaryvalueproblemonanunboundeddomain
AT lihongzhang iterativeapproximationoftheminimalandmaximalpositivesolutionsformultipointfractionalboundaryvalueproblemonanunboundeddomain